Topological polygroups in the framework of fuzzy sets

Article type: Research Article

Authors: Abbasizadeh, N. | Davvaz, B.^*

Affiliations: Department of Mathematics, Yazd University, Yazd, Iran

Correspondence: [*] Corresponding author. B. Davvaz, Department of Mathematics, Yazd University, Yazd, Iran. Tel.: +983531232711; Fax: +983538210644; E-mail: [email protected].

Abstract: This paper provides a new connection between algebraic hyperstructures and fuzzy sets. The concept of fuzzy topological polygroups is a generalization of the concept of fuzzy topological groups. In this paper, we present the concept of fuzzy topological polygroups and prove some results in this respect. By considering the relative fuzzy topology on fuzzy subpolygroups we give some characterization of them. Finally, we prove that the product of a finite family of fuzzy topological polygroups is a fuzzy topological polygroup

Keywords: Polygroup, fuzzy topological polygroups, Q-neighborhood, direct product

DOI: 10.3233/IFS-152069

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2811-2820, 2016